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Topological fixed point theorems do not hold for random dynamical systems

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Publication:1961330
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DOI10.1023/A:1022670227876zbMath0939.37002OpenAlexW1912450606MaRDI QIDQ1961330

Valery I. Oseledets, Gunter Ochs

Publication date: 6 July 2000

Published in: Journal of Dynamics and Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/a:1022670227876


zbMATH Keywords

random dynamical systemsergodic theorytopological fixed theorem


Mathematics Subject Classification ID

Ergodicity, mixing, rates of mixing (37A25) Generation, random and stochastic difference and differential equations (37H10)


Related Items (6)

THERMODYNAMIC FORMALISM FOR RANDOM TRANSFORMATIONS REVISITED ⋮ Existence of geometric ergodic periodic measures of stochastic differential equations ⋮ Stochastic nonlinear Perron-Frobenius theorem ⋮ Linearization and local stability of random dynamical systems ⋮ PERIODICITY AND SHARKOVSKY'S THEOREM FOR RANDOM DYNAMICAL SYSTEMS ⋮ REPRESENTATION OF PATHWISE STATIONARY SOLUTIONS OF STOCHASTIC BURGERS' EQUATIONS




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